TIMO Khối 7 – Vòng Quốc gia (Heat Round) – Đề số 2

Given A and C are two non-zero digits and the 2-digit numbers formed by these two digits have the following properties: 1. CA is divisible by 8; 2. AC is a cubic number; Find the 2-digit number

Non-zero: Khác 0; Digit: Chữ số; 2-digit number: Số có hai chữ số; Divisible by: Chia hết cho;

CA Cubic number: Số lập phương

Split 2, 3, 5, 7, 14, 33, 65 and 143 into 2 groups of 4 numbers such that the products of numbers in both groups are equal. Find the sum of the numbers of the group that contains 7.

Product: Tích; Equal: Bằng nhau; Sum: Tổng.

30 children, numbered 1 to 30, sit around a circle in order. Each child has an integer in hand. The child numbered 1 has the integer 1. The child numbered 2 has the integer 2. Given that the sum of the integers of any 9 consecutive children is equal to 30. What is the integer held by the child numbered 30?

Circle: Hình tròn; Integer: Số nguyên; Sum: Tổng; Consecutive: Liên tiếp.